INTEGRABLE PROPERTIES FOR A GENERALIZED NON-ISOSPECTRAL AND VARIABLE-COEFFICIENT KORTEWEG–DE VRIES MODEL

DOI10.1142/S0217984910022949zbMath1188.37066OpenAlexW2069188234MaRDI QIDQ3568514

Xiao-Ge Xu, Fu-Wei Sun, Xiang-Hua Meng, Yi-Tian Gao

Publication date: 15 June 2010

Published in: Modern Physics Letters B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217984910022949

zbMATH Keywords

Hirota bilinear methodBäcklund transformationLax pair\(N\)-solitonic solutiongeneralized non-isospectral and variable-coefficient Korteweg-de Vries equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Statistical mechanics of plasmas (82D10) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items

Investigation on a nonisospectral fifth-order Korteweg-de Vries equation generalized from fluids

Cites Work

• Bilinear transformation method
• Waves in fluid-filled elastic tubes with a stenosis: Variable coefficients KdV equations
• New soliton-like solutions for KdV equation with variable coefficient
• Solitary waves in an inhomogeneous rod composed of a general hyperelastic material
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• A New Form of Backlund Transformations and Its Relation to the Inverse Scattering Problem